Solve (0.95/1.2)3-5.52

$$( \frac{ 0.95 }{ 1.2 } )3-5.52$$

Evaluate

$$-3.145$$

Solution Steps

Expand \frac{0.95}{1.2} by multiplying both numerator and the denominator by 100.

$$\frac{95}{120}\times 3-5.52$$

Reduce the fraction \frac{95}{120} to lowest terms by extracting and canceling out 5.

$$\frac{19}{24}\times 3-5.52$$

Express \frac{19}{24}\times 3 as a single fraction.

$$\frac{19\times 3}{24}-5.52$$

Multiply 19 and 3 to get 57.

$$\frac{57}{24}-5.52$$

Reduce the fraction \frac{57}{24} to lowest terms by extracting and canceling out 3.

$$\frac{19}{8}-5.52$$

Convert decimal number 5.52 to fraction \frac{552}{100}. Reduce the fraction \frac{552}{100} to lowest terms by extracting and canceling out 4.

$$\frac{19}{8}-\frac{138}{25}$$

Least common multiple of 8 and 25 is 200. Convert \frac{19}{8} and \frac{138}{25} to fractions with denominator 200.

$$\frac{475}{200}-\frac{1104}{200}$$

Since \frac{475}{200} and \frac{1104}{200} have the same denominator, subtract them by subtracting their numerators.

$$\frac{475-1104}{200}$$

Subtract 1104 from 475 to get -629.

$$-\frac{629}{200}$$

Factor

$$-3.145$$